SOLUTION: when one-fifth of a number is added to one-third of the number the sum is 24. what is the number?

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Question 574170: when one-fifth of a number is added to one-third of the number the sum is 24. what is the number?
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number
one-fifth of x=%281%2F5%29x=x%2F5
one-third of x = %281%2F3%29x=x%2F3

The sum is 24.
x%2F5%2Bx%2F3=24
Take LCD
%283x%2B5x%29%2F15=24
8x%2F15=24
%2815%29%288x%2F15%29=%2824%29%2815%29
cross%2815%29%288x%2Fcross%2815%29%29=360
8x=360
8x%2F8=360%2F8
cross%288%29x%2Fcross%288%29=cross%28360%29%2Fcross%288%29
x=45

Number is 45


Check
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%2845%29%281%2F5%29%2B%2845%29%281%2F3%29=24
cross%2845%29%281%2Fcross%285%29%29%2Bcross%2845%29%281%2Fcross%283%29%29=24
9%2B15=24
24=24